Date: Fri, 12 Aug 2022 03:25:56 +0300 (EEST) Message-ID: <637023905.31849.1660263956020@wiki-1.it.helsinki.fi> Subject: Exported From Confluence MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_Part_31848_2127298713.1660263956020" ------=_Part_31848_2127298713.1660263956020 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable Content-Location: file:///C:/exported.html Introduction to probability with R, fall 2011

# Introduction to Probability, Fall 2011

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### Lecturer

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Ali Amiryou= sefi

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3cu.

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### Lectures

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Week 37:
Monday 9-12 and 15-18 in room B119
Tuesday 9-1= 2 in room B321
Friday 9-12 and 15-18 in room CK111 and B321, respective= ly.

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Week 38:
Monday 9-12 and 15-18 in room B119
Tuesday 9-1= 2 in room B321

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Week 42:
Monday 9-12 and 14-17 in room CK108 and CK107, res= pectively.

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###### Notes
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*Only the material of the weeks 37 and 38 will appear on the exam.
*= Last session will be devoted to your questions and reviewing the k= ey concepts.

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### Prerequisi= tes

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Elementary Calculus

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### Course Diary=

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12.09.2011: 1.Combinatorial Analysis; Sections: 1, 2, 3, 4, 5.<= /p>=20

12.09.2011: 2.Axioms of Probability; Sections: 1, 2, 3, 4, 5, 6= , 7.

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13.09.2011: 3.Conditional Probability and Independence; Section= s: 1, 2, 3, 4, 5.

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16.09.2011: 4.Random Variables; Sections: 1, 2, 3, 4, 5.

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16.09.2011: 4.Random Variables; Sections: 6, 7, 8.1, 8.2, 8.3, = 9.

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19.09.2011: 5.Continuous Random Variables; Sections: 1, 2, 3, 4= .

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19.09.2011: 5.Continuous Random Variables; Sections: 5, 6.1, 6.= 2, 6.3, 6.4, 7.

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20.09.2011: 6.Jointly Distributed Random Variables; Sections: 1= , 2, 4, 5.

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17.10.2011: 8.Limit Theorems; Sections: 1, 2, 3, 4. 10.Simu= lation; Sections: 1, 2.1, 2.2, 3.

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17.10.2011: 9.Additional Topics in Probability; Section: 2.

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### Self-Stu= dy Parts

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Chapter 3: Examples 4f and 5f.
Chapter 4: 4.6.1.
Chapter 5: 5.4.= 1, 5.5.1.
Chapter 6: Examples 1f, 3e, 3f, 5c, and 5d.

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###### Notes
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*There will be one bonus question contributing to one point of the exam = relating to these parts.

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### Exercises

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Chapter 1: 21, 22, 23, 27, 2T, 5T, 8T, 9T, 13T.
Chapter 2: 15, 28, = 56, 11T, 16T, 20T.
Chapter 3: 21, 35, 52, 59, 66, 69, 73, 15T, 22T, 30T= .
Chapter 4: 26, 30, 31, 38, 43, 57, 80c, 4T, 8T, 9T, 10T, 13T, 19T, 27= T, 28T.
Chapter 5: 3, 7, 10, 13, 18, 19, 21, 25, 26, 28, ,30, 31, 36, 3= 8, 1T, 2T, 7T, 10T, 12T, 13T, 25T, 28T, 26T, 15T, 16T.
Chapter 6: 2, 8,= 9, 13, 23, 24, 41, 39, 43, 51, 54, 12T, 14T, 20T, 19T.

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### Solutions

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###### Notes
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*The 'T' indicates the Theoretical whereas the other numbers without suf= fixes are Problems.
*Solutions to the exercises should be handed in no = later than 17.10.2011; 9:15 AM.
*Solutions to these exercises will be p= osted online after the due date of delivery.
*One can obtain one bonus = point by solving at least 80 percent of the exercises i.e. 64 out of total = of 80.
*Each group can hand in one set of solutions but students are st= rongly recommended to do all the exercises by themselves.
*There is no = more than 10 percent exercises related to the self study parts i.e. 8 out o= f total of 80.

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### Exams

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Data: 24.10.2011.
Time: 10:00-13:00.
Place: Exactum, B120.

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###### Notes
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*The exam will contain six questions of which one bonus question is rela= ted to the self study parts.
*Each question is worth a point.
*You = will not need a particular table or formula as they will be presen= ted in the question if needed.
*There would be two separate exams on 17= .11.2011 & 6.3.2012. If interested to take any of those , send me an em= ail two weeks to the desirable date and also register for it in the Student= Affair Office C329, two weeks prior to the exam.
*Your previous solut= ions to the exercises (if you handled in any) will not count toward your fi= nal grade if you take separate exam.

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### Bibliograph= y

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Sheldon Ross, A First Course in Probability, Pearson, 2006.

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### Type

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NOTE. This course is for international Master=C2=B4s degree program stud= ents. The course does not correspond or compensate the compulsory course "J= ohdatus todenn=C3=A4k=C3=B6isyyslaskentaan" in the degree requirements of m= athematics and statistics.

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### Registration

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Did you forget to register? What to do.

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